若(1+sinx)/cosx=-1/2,则cos/sinx-1=
人气:474 ℃ 时间:2020-06-25 22:57:31
解答
(1+sinx)/cosx=-1/2(1+sinx)cosx/(cosx*cosx)=-1/2(1+sinx)cosx/(cosx)^2=-1/2(1+sinx)cosx/[1-(sinx)^2]=-1/2(1+sinx)cosx/[(1-sinx)(1+sinx)]=-1/2cosx/(1-sinx)=-1/2cosx/(sinx-1)=1/2
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